The decimal fractions printed in large type give the exact value of the corresponding fraction to the fourth decimal place. A given decimal fraction is rarely exactly equal to any of these values, and the numbers in small type show which common fraction is nearest to the given decimal. Thus, lay off the fraction .1330 in 64ths. The nearest decimal fractions are .1250 and .1406. The value of any fraction in small type is the mean of the two adjacent fractions. In this instance the mean fraction is .1328, and as .1330 is greater than this, .1406 or 9/64 will be chosen. In the same manner the nearest friths corresponding to the decimal fractions .3670 and .8979 are found to be 23/64 and 57/64, respectively.

Fraction

Decimal

Fraction

Decimal

Fraction

Decimal

Fraction

Decimal

.0078

.2578

.5078

.7578

1/64

.0156

17/64

.2656

33/64

.5156

49/64

.7656

.0235

.2735

.5235

.7735

1/32

.0313

9/32

.2813

17/32

.5313

25/32

.7813

.0391

.2891

.5391

.7891

3/64

.0469

19/64

.2969

35/64

.5469

51/64

.7969

.0547

.3047

.5547

.8047

1/16

.0625

5/16

.3125

9/16

.5625

13/16

.8125

.0703

.3203

.5703

.8203

5/64

.0781

21/64

.3281

37/64

.5781

53/64

.8281

.0860

.3360

.5860

.8360

3/32

.0938

11/32

.3438

19/32

.5938

27/32

.8438

.1016

.3516

.6016

.8516

7/64

.1094

23/64

.3594

39/64

.6094

55/64

.8594

.1172

.3672

6172

.8672

1/8

.1250

3/8

.3750

5/8

.6250

7/8

.8750

.1328

.3828

.6328

.8828

9/64

.1406

25/64

.3906

41/64

.6406

57/64

.8906

.1485

.3985

.6485

.8985

5/32

.1563

13/32

.4063

21/32

.6563

29/32

.9063

.1641

4141

.6641

.9141

11/64

.1719

27/64

.4219

43/64

.6719

59/64

.9219

.1797

.4297

.6797

.9297

3/16

.1875

7/16

.4375

11/16

.6875

15/16

.9375

.1953

.4453

.6953

.9453

13/64

.2031

29/64

.4531

45/64

.7031

61/64

.9531

.2110

.4610

.7110

.9610

7/32

.2188

15/32

.4688

23/32

.7188

31/32

.9688

.2266

.4766

.7266

.9766

15/64

.2344

31/64

.4844

47/64

.7344

63/64

.9844

.2422

.4922

.7422

.9922

1/4

.2500

1/2

.5000

3/4

.7500

l

1.0000

.2578

.5078

.1578

1.0078